Three nonconducting infinite sheets are parallel to the yz plane of an xyz coordinate system. Each sheet has a uniform surface charge density. Sheet 1, negatively charged with surface charge density p, passes through the x axis at x=1.0 = 1.0 m . Sheet 2 has an unknown surface charge density and passes through the x axis at x = 2.0 m . Sheet 3, negatively charged with surface charge density 3p, and passes through thexaxis at x = 4.0 m . The electric field due to the sheets is zero at x = 1.5 m .
A) What is the surface charge density on sheet 2? Express your answer in terms of p.
B) If the electric field at x = 0 is E0?, what is the electric field magnitude at x = -2.0 m ? What is it at x = 3.0 m and x = 6.0 m ? Express your answer in terms of the variable p and the permittivity constant e0.